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Finding the Fourth Proportional to 9,695, 14,542.98 and 3,120.68

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Solution

The fourth proportional to 9,695, 14,542.98 and 3,120.68 is: 4,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695 : 14,542.98 = 3,120.68 : x
  2. Step 2: Convert to fraction form
    9,695/14,542.98 = 3,120.68/x
  3. Step 3: Cross multiply
    9,695x = 14,542.98 × 3,120.68
  4. Step 4: Simplify right side
    9,695x = 45,383,986.83
  5. Step 5: Solve for x
    x = 45,383,986.83/9,695
  6. Step 6: Final answer
    x = 4,681.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.